Prog. Theor. Phys. Vol. 41 No. 6 (1969) pp. 1461-1469
Density Perturbation and Preferential Coordinate Systems in an Expanding Universe
Department of Physics, Faculty of Science, University of Tokyo, Tokyo
(Received December 20, 1968)
Under general coordinate conditions, the equation for density
perturbation in an expanding universe has fictitious solutions. In
order to exclude the fictitious solutions automatically, we adopt
coordinate systems moving with the average distribution of matter; and
we obtain some coordinate conditions which provide for these
systems. These contain not only the so-called Lagrangian gauge but
also new coordinate conditions. Under these conditions, the equation
for spatially periodic density perturbation becomes a second-order
differential equation with respect to time and reduces to Bessel's
differential equation when the equation of state is of the form
p/ε= const (p = pressure, ε= energy density).
DOI : 10.1143/PTP.41.1461
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Citing Article(s) :
Progress of Theoretical Physics Vol. 45 No. 2 (1971) pp. 370-385
Mass of a Galaxy and Dissipative Process in the Hot Universe
Progress of Theoretical Physics Supplement No.78 (1984) pp. 1-166
Cosmological Perturbation Theory
Hideo Kodama and Misao Sasaki